Problem: Polycarp has just invented a new binary protocol for data transmission. He is encoding positive integer decimal number to binary string using following algorithm:

  * Each digit is represented with number of '1' characters equal to the value of that digit (for 0 it is zero ones). 
  * Digits are written one by one in order corresponding to number and separated by single '0' character. 



Though Polycarp learnt how to encode the numbers, he has no idea how to decode them back. Help him calculate the decoded number.

Input

The first line contains one integer number n (1 ≤ n ≤ 89) — length of the string s.

The second line contains string s — sequence of '0' and '1' characters, number in its encoded format. It is guaranteed that the number corresponding to the string is positive and doesn't exceed 109. The string always starts with '1'.

Output

Print the decoded number.

Examples

Input

3
111


Output

3


Input

9
110011101


Output

2031

Solution (in JAVA):

Solution:
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.HashMap;
import java.util.HashSet;
import java.util.StringTokenizer;

public class A {
	static FastReader scan = new FastReader();
	static PrintWriter out = new PrintWriter(System.out);

	public static void main(String[] args) {
		Solver solver = new Solver();
		int testCases = 1;
		while (testCases--> 0) solver.solve();
		out.close();
	}

	static class Solver {
		
		void solve() {
			int n = scan.nextInt();
			char[] s = scan.next().toCharArray();
			StringBuilder res = new StringBuilder("");
			int curr = 0;
			for(int i = 0; i < n; i++) {
				if(s[i] == '1') curr++;
				else {
					if(s[i-1] == '0') res.append('0');
					else {
						res.append(curr);
					}
					curr = 0;
				}
			}
			if(curr != 0) res.append(curr);
			else res.append("0");
			out.println(res);
		}
	}	
	
	//Sathvik's Template Stuff BELOW!!!!!!!!!!!!!!!!!!!!!!
	
	
	static class DSU {
		int[] root, size;
		int n;
		DSU(int n) {
			this.n = n;
			root = new int[n];
			size = new int[n];
			for(int i = 0; i < n; i++) {
				root[i] = i;
				size[i] = 1;
			}
		}
		int findParent(int idx) {
			while(root[idx] != idx) {
				root[idx] = root[root[idx]];
				idx = root[idx];
			}
			return idx;
		}	
		boolean union(int x, int y) {
			int parX = findParent(x);
			int parY = findParent(y);
			if(parX == parY) return false;
			if(size[parX] < size[parY]) {
				root[parY] = parX;
				size[parX] += size[parY];
			} else {
				root[parX] = parY;
				size[parY] += size[parX]; 
			}
			return true;
		}
	}

	static class Extra {
		static void sort(int[] a) {
			Integer[] aa = new Integer[a.length];
			for (int i = 0; i < aa.length; i++) aa[i] = a[i];
			Arrays.sort(aa);
			for (int i = 0; i < aa.length; i++) a[i] = aa[i];
		}
		static void sort(long[] a) {
			Long[] aa = new Long[a.length];
			for (int i = 0; i < aa.length; i++) aa[i] = a[i];
			Arrays.sort(aa);
			for (int i = 0; i < aa.length; i++) a[i] = aa[i];
		}
		static void sort(double[] a) {
			Double[] aa = new Double[a.length];
			for (int i = 0; i < aa.length; i++) aa[i] = a[i];
			Arrays.sort(aa);
			for (int i = 0; i < aa.length; i++) a[i] = aa[i];
		}
		static void sort(char[] a) {
			Character[] aa = new Character[a.length];
			for (int i = 0; i < aa.length; i++) aa[i] = a[i];
			Arrays.sort(aa);
			for (int i = 0; i < aa.length; i++) a[i] = aa[i];
		}
		static long gcd(long a, long b) {
			while(b > 0) {
				long temp = b;
				b = a%b;
				a = temp;
			}
			return a;
		}
		static long lcm(long a, long b) {
			return a * (b / gcd(a,b));
		}
		static boolean isPrime(long n) {
			if (n <= 1) return false; 
	        if (n <= 3) return true; 
	        if (n % 2 == 0 || n % 3 == 0) return false; 
	        for (long i = 5; i * i <= n; i = i + 6) { 
	            if (n % i == 0 || n % (i + 2) == 0) return false; 
	        }
	        return true;
		}
		static HashSet<Integer> sieve(int n) {
			boolean[] prime = new boolean[n+1];
			HashSet<Integer> res = new HashSet<>();
			for(int p = 2; p*p <= n; p++) {
				if(!prime[p]) {
					res.add(p);
					for(int i = p*p; i <= n; i+=p) prime[i] = true;
				}
			}
			return res;
		}
		static HashMap<Long, Integer> primeFactorization(long n) {
			HashMap<Long, Integer> res = new HashMap<>();
			while(n % 2 == 0) {
				res.put(2L, res.getOrDefault(2L, 0)+1);
				n/=2;
			}
			for(long i = 3; i*i <= n; i+=2) {
				while(n % i == 0) {
					res.put(i, res.getOrDefault(i, 0)+1);
					n/=i;
				}
			}
			if(n > 2) res.put(n, 1);
			return res;
		}
	}

	static class FastReader {
		BufferedReader br;
		StringTokenizer st;

		public FastReader() {
			br = new BufferedReader(new InputStreamReader(System.in));
		}

		String next() {
			while (st == null || !st.hasMoreElements()) {
				try {
					st = new StringTokenizer(br.readLine());
				} catch (IOException e) {
					e.printStackTrace();
				}
			}
			return st.nextToken();
		}

		int nextInt() {
			return Integer.parseInt(next());
		}

		int[] nextIntArray(int n) {
			int[] a = new int[n];
			for (int i = 0; i < n; i++)
				a[i] = nextInt();
			return a;
		}

		long nextLong() {
			return Long.parseLong(next());
		}

		long[] nextLongArray(int n) {
			long[] a = new long[n];
			for (int i = 0; i < n; i++)
				a[i] = nextLong();
			return a;
		}

		double nextDouble() {
			return Double.parseDouble(next());
		}

		double[] nextDoubleArray(int n) {
			double[] a = new double[n];
			for (int i = 0; i < n; i++)
				a[i] = nextDouble();
			return a;
		}

		String nextLine() {
			String str = "";
			try {
				str = br.readLine();
			} catch (IOException e) {
				e.printStackTrace();
			}
			return str;
		}
	}
	
	
}